摘要:

AbstractIt is shown that translation‐invariant operation, with operator‐valued symbols act continuously on Bcsov spaces of Band‐space‐valued distributions. This result is then used to extend and complement the known theory of vector‐valued Bcsov spaces. In addition, its power is demonstrated by giving applications to a variety of problems from elliptic and parabolic differential and integro‐differentia

ISSN:0025-584X    

DOI:10.1002/mana.3211860102

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.3211860103

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractSome reversed Hölder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [1], [2], [3], [5], [9], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case withnfunctions of m variables (m, n ∈ ℤ+ ). Some of these results seem to be new also for the case n = 1 or m

ISSN:0025-584X    

DOI:10.1002/mana.3211860104

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractFor a coinmutative senugoup (S, +, *) with involution and a function f : S → [0, ∞), the set S(f) of those p ≥ 0 such thatfPis a positive definite function onSis a closed subsemigroup of [0, ∞) containing 0. ForS= (IR, +,x* = ‐x) it may happen that S(f) = {kd : k ∈N0} for somed>0, and it may happen that S(f) = {0} ⊂ [d, ∞) for somed>O. If α>2 and ifS= (ℤ, +, n* = ‐n) andf(n) = e−[n]αor S = (IN0, +, n* = n) andf(n) = enα, thenS(f) ∪ (0,c) = ϕ and [d, ∞) ⊂ S(f) for somed ≥; c>0. Although (withcmaximal anddminimal) we have not been able to showc=din all cases, this equality does hold ifS= ℤ and α ≥ 3.4. In the last section we give sinipler proofs of previously known results concerning the positive defi

ISSN:0025-584X    

DOI:10.1002/mana.3211860105

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractWe consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p‐Laplacia

ISSN:0025-584X    

DOI:10.1002/mana.3211860106

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractLet (X,Y) be a minimal compactifiurtion of ℂ2. In this paper, we determine the structure of such a (X,Y) in the case where X is a normal hypersurface of degree d ≤ 4 in

ISSN:0025-584X    

DOI:10.1002/mana.3211860107

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractGiven a holomorphic mapping of bounded typeg∈Hb(U,F), whereU ⊆ Eis a balanced open subset, andE, Fare complex Banach spaces, letA : Hb(F) ∈ Hb(U) be the homomorphism defined byA(f) = fogfor allf∈Hb(F). We prove that: (a) forFhaving the Dunford‐Pettis property,Ais weakly compact if and only ifgis weakly compact; (b)Ais completely continuous if and only ifg(W) is a Dunford‐Pettis set for everyU‐bounded subsetW ⊂ U. To obtain these results, we prove that the class of Dunford ‐ Pettis sets is stable under projecti ve tensor products. Moreover, we diaracterize the reflexivity of the spaceHb(U,F) and prove thatE'andFhave the Schur property if and only ifHb(U, F) has the Schur property. As an application, we obtain some results on linearization of hol

ISSN:0025-584X    

DOI:10.1002/mana.3211860108

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractWe study the regularity of solutions of interface problems for the Poisson equation in axisynunetric domains. The Fourier decomposition of the 3D‐problem into a sequence of 2D‐variational equations end uniform (with respect to the sequence parameter) a prior; estimates of their solutions are derived. Some non‐tensorial singular functions describing the behaviour of the solution near interface edges are given and the smoothness of the stress intensity distribution as well as the tangential regularity are characterized in tenns of Sobolev spaces. In a forthcoming part II of this paper, the results will be applied to error estimates of the so‐called Fourier‐finite‐element method for solving approximately elliptic interface pro

ISSN:0025-584X    

DOI:10.1002/mana.3211860109

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractRotundity of finite ‐dimensional Orlicz spaceslϕnequipped with the Luxemburg norm is considered. It is proved that criteria for rotundity oflϕnfor n ≥ 3 does not depend onnand are the same as the criteria for rotundity of the inhite‐dimensional subspacehϕof an Orlicz sequence spacelϕ. Criteria for rotundity oflϕ2are different. Next, criteria for exposed points, (H)‐ points, strongly exposed points and LUR‐ points of the unit sphere oflϕand of its subs

ISSN:0025-584X    

DOI:10.1002/mana.3211860110

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractIt is shown that a Banach space satisfies Clarkson's inequalities if and only if its “type or cotype constant” is 1, which implies in particular that the notions ofGo‐ and Gn‐ Fourier type by Milman [16] are equivalent. A sequence of related results is als

ISSN:0025-584X    

DOI:10.1002/mana.3211860111

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY